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Alex_Xolod [135]
2 years ago
7

Find m∠FGL.

Mathematics
2 answers:
Lady bird [3.3K]2 years ago
3 0

Answer:

C) \displaystyle 30°

Step-by-step explanation:

Use the Angle Addition Postulate to figure this out:

\displaystyle m∠FGL + m∠LGH = m∠FGH

165° = (x + 15)° + (9x)°

165° = (15 + 10x)°

- 15° - 15°

_____________

\displaystyle \frac{150°}{10} = \frac{[10x]°}{10} \\ \\

\displaystyle 15° = x[Plug this back into the modeled expression for the m∠FGLto get the angle measure of 30°]; \displaystyle 30° = m∠FGL

I am joyous to assist you anytime.

Zepler [3.9K]2 years ago
3 0

Answer:

30 Degrees

C)

Step-by-step explanation:

m∠FGL + m∠LGH = m∠FGH → (x + 15) + (9x) = 165 → x = 15

Therefore, m∠FGL = x + 15 = 15 + 15 = 30°

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Graph the following piecewise function.
atroni [7]

Answer:

The graph of this piece-wise function is attached below.

Step-by-step explanation:

Given the function

{\displaystyle f(x)={\begin{cases}x^{2} +2&{\text{if }}-5\leq x

  • A piece-wise function is a function which has multiple pieces.
  • Each of the pieces have their own restrictions.
  • The domain of a function is the set of input, or x, values for which the function is defined.
  • The range is the set of all values taken by the function

As the piece

f(x)=x^{2} +2 has the domain [-5, 3) and graph of this piece is attached below.

and

f(x)=x-4 has the domain [3, 7) and graph of this piece is attached below.

So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval \:\left[-1,\:27\right].

i.e.

Domain: [-5, 3) U [3, 7)

Range: \:\left[-1,\:27\right]

The graph of this piece-wise function is attached below.

<em>Keywords: piece-wise function, domain, range</em>

<em>Learn more about piece-wise function from brainly.com/question/12687437</em>

<em>#learnwithBrainly</em>

3 0
3 years ago
And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televi
vodomira [7]
X= weight of TV
y= weight of CD

3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:

3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.

Now plug y= 3.5 back into any equation to get x:

3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5
4 0
2 years ago
Volume of right trapezoid cylindar whole bases are B 16m, b 8m, height is 4m and length is 32m
viktelen [127]

Answer:

volume = 1536 m^3

Step-by-step explanation:

given data;

B = 16m

b =8 m

height   H = 4 m

length  L = 32 m

volume of any right cylinder = (Area of bottom) \times (length)

Volume = A* L

The area of a trapezoid is

A=\frac{1}{2} H*(b+B)

A =\frac{1}{2} 4*(8+16)

A = 48 m^2

therefore volume is given as  

volume = 48*32

volume = 1536 m^3

6 0
3 years ago
I literally don’t get none of this
faust18 [17]

Answer:

Angle 5, 4, and 7.

Step-by-step explanation:

Angle 2 is vertical to angle 5, making them congruent.


Angle 2 corresponds with angle 4, making them congruent.


Angle 2 is an alternate interior to angle 7, making them congruent.

]

The rest of the angles just combine with angle two to make 180.

5 0
3 years ago
20 At Honey Beepot, the bulk price for honey is $2.50 per pound, with a minimum purchase of 20 pounds. If Bobby paid $80 for som
Pachacha [2.7K]
Answer:
12 pounds (B)
Explanation:
80/2.5 = 32
32-20 = 12
I don’t know if this is right but I’m pretty sure it is.
7 0
3 years ago
Read 2 more answers
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